Finding the Fourth Proportional to 7,834.56, 10,812.15 and 4,648.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.56 : 10,812.15 = 4,648.83 : x
2. Step 2: Convert to fraction form
   7,834.56/10,812.15 = 4,648.83/x
3. Step 3: Cross multiply
   7,834.56x = 10,812.15 × 4,648.83
4. Step 4: Simplify right side
   7,834.56x = 50,263,847.28
5. Step 5: Solve for x
   x = 50,263,847.28/7,834.56
6. Step 6: Final answer
   x = 6,415.66